caa a22 4500 606199705 CHVBK 20210128100939.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s11045-013-0252-5 doi (NATIONALLICENCE)springer-10.1007/s11045-013-0252-5 Partial interconnection and observer-based dead-beat control of two-dimensional behaviors [Elektronische Daten] [Mauro Bisiacco, Maria Valcher] In this paper the dead-beat control problem, by partial interconnection, of two-dimensional (2D) discrete behaviors, defined on the grid $$\mathbb{Z }_+\times \mathbb{Z }$$ Z + × Z and having the time as (first) independent variable, is investigated. The possibility of driving to zero (in a finite number of "steps”) either all or part of the system variables, by means of a partial interconnection controller, proves to be equivalent to the reconstructibility of the variables that are not accessible for control. On the other hand, if we search for "admissible” dead-beat controllers, the only ones providing meaningful results in practice, we have to introduce the zero-time-controllability assumption. These two properties are just the necessary and sufficient conditions for the existence of an observer-based (admissible) dead-beat controller, which consists of a dead-beat observer, to estimate the relevant variables from the measured ones, and of a full interconnection dead-beat controller, acting on both the measured and the estimated variables. Springer Science+Business Media New York, 2013 2D behavior nationallicence Nilpotent autonomous behavior nationallicence Reconstructibility nationallicence Zero-time-controllability nationallicence Dead-beat observer/controller nationallicence Full/partial interconnection nationallicence Observer-based dead-beat controller nationallicence Bisiacco Mauro Department of Information Engineering, University of Padova, via Gradenigo 6/B, 35131, Padova, Italy aut Valcher Maria Department of Information Engineering, University of Padova, via Gradenigo 6/B, 35131, Padova, Italy aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/2(2015-04-01), 459-479 0923-6082 26:2<459 2015 26 11045 https://doi.org/10.1007/s11045-013-0252-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0252-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bisiacco Mauro Department of Information Engineering, University of Padova, via Gradenigo 6/B, 35131, Padova, Italy aut NATIONALLICENCE 700 1- Valcher Maria Department of Information Engineering, University of Padova, via Gradenigo 6/B, 35131, Padova, Italy aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/2(2015-04-01), 459-479 0923-6082 26:2<459 2015 26 11045